Question

Pls ❣️ ans this Question is (prove this)

Answer 1

(64/125)-⅔ + 1/(256/625)¼ + √25/³√64

= (4³/5³)-⅔ + 1/(4⁴/5⁴)¼ + 5/4

= 4-²/5-² + 1/4/5 + 5/4

= 5²/4² + 5/4 + 5/4

= 25/16 + 5/4 + 5/4

= 25+20+20/16

= 65/16

Hope it helps!!

Thank you

Answer 2

$({ \frac{64}{125} })^{ \frac{ - 2}{3} } + \frac{1}{ (\frac{256}{625} )^{ \frac{1}{4} } } + \frac{ \sqrt{25} }{ \sqrt[3]{64} } = \frac{65}{16} \\ LHS \\ = > (\frac{125}{64} ) ^{ \frac{2}{3} } + \frac{1}{ (\frac{4}{5}) ^{4 \times \frac{1}{4} } } + \frac{5}{4} \\ = > ( \frac{5}{4} ) ^{3 \times \frac{2}{3} } + \frac{1}{ \frac{4}{5} } + \frac{5}{4} \\ = > (\frac{5}{4} ) ^{2} + \frac{5}{4} + \frac{5}{4} \\ = > \frac{25}{16} + \frac{5}{4} + \frac{5}{4} \\ = > \frac{25 + 20 + 20}{16} \\ = > \frac{65}{16} =RHS$

Hence, proved.